document.write( "Question 317672: determine the domain and range and sketch the graph of the relations defined by \"x=-4y%5E2\"
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Algebra.Com's Answer #227496 by Edwin McCravy(20063)\"\" \"About 
You can put this solution on YOUR website!
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document.write( "Any number substituted for y will give a defined value for x,\r\n" );
document.write( "since any number may be squared and multiplied by 4 and an\r\n" );
document.write( "answer given. So y can be any number.  Therefore the range is\r\n" );
document.write( "\"all real numbers\" or \r\n" );
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document.write( "Range = \"%22%28%22\"\"-infinity\"\"%22%2C%22\"\"infinity\"\"%22%29%22\"\r\n" );
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document.write( "\"x=-4y%5E2\"\r\n" );
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document.write( "Solve for y\r\n" );
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document.write( "\"-4y%5E2=x\"\r\n" );
document.write( "\"y%5E2=-x%2F4\"\r\n" );
document.write( "\"y=+%22%22+%2B-+sqrt%28-x%29%2F2\"\r\n" );
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document.write( "An even-root radical such as a square root radical\r\n" );
document.write( "cannot caontain a negative number in real mathematics.\r\n" );
document.write( "So what's under the radical must be greater than or equal 0:\r\n" );
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document.write( "So \"-x+%3E=+0\" which becomes \"x%3C0\"\r\n" );
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document.write( "So the domain is \"%22%28%22\"\"-infinity\"\"%22%2C%22\"\"0\"\"%22%5D%22\"  \r\n" );
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document.write( "To graph, choose x negative or zero so -x will be positive\r\n" );
document.write( "and be square-root-able, \r\n" );
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document.write( "  x |  y\r\n" );
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document.write( "  0 |  0\r\n" );
document.write( " -4 | ±1 \r\n" );
document.write( "-16 | ±2\r\n" );
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document.write( "Edwin
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